The table below shows the distribution of students in Mrs. Boxer's sixth-grade class. What is the ratio of the number of boys to the number of girls?

11/2*3/4+1/78=9/8*5/8

5.5*3/4+1/78=9/8*5/8

16.5/4+1/78=9/8*5/8

4.125+1/78=9/8*5/8

4.125+0.013=9/8*5/8

4.125+0.013=1.125*5/8

4.125+0.013=5.625/8

4.125+0.013=0.703

4.138=0.703

the answer is 4.138=0.703

hope this helps

Answer:

Step-by-step explanation:

Let's get the answer first and then we can discuss how it is done. The answer is 119.

There is a problem. The question does not state whether or not 101 is included. If it is 119 is correct. If the question is between 101 and 200 then the answer will be 117.

How was it done? A programming language was used. So it counted by brute force.

From 101 to 120 we get

101  102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120

32  Certainly there must be a quicker way

101 = 2

102 to 109 = 1 * 8 = 8

110 to 119 = 10*2 = 20  

111 has an extra 1  = 1

120 has                    1

Total                       32  

From here it gets a bit easier.

121                      2

122 - 129            8

total                  10

130                     1

131                      2

132 - 139           8  

total                  11

140 to 149        11

150 to 159        11

160 to 169        11

170 to 179         11    

180 to 189         11

190 to 199         11

total 7 * 11 + 32 + 10 = 119

Answer:

56.5 cu.in

Step-by-step explanation:

Diameter is 6 inches,then radius(r)=3 inches

volume of hemisphere=2/3πr^3

=2/3×3.14×3×3×3

=2×3.14×3×3

=2×3.14×9

=56.52 cu.in

Answer:

Step-by-step explanation:

Median of a dataset is the value at the centre of the dataset after rearrangement.

Given the data {8,x , 4,1}, the median of the set will be two values(x and 4). Since we have two values as the median, we will take their average.

Median of the first data set = x+4/2 ...(1)

For the second dataset  {9,y , 5,2}, the median will be y+5/2

Since we are told that the medians of both datasets are equal, we will equate the value of the medians of both datasets as given below;

x+4/2 = y+5/2

cross multiplying;

2(x+4) = 2(y+5)

Dividing both sides by 2 will give;

x+4 = y+5

From the resulting equation;

y-x = 4-5

y-x = -1

(y-x)² = (-1)² = 1

Given the difference that exists between the the total blue area and the total green area, we can see that the blue area is larger

We have to solve for the blue area

2 {area of the largest face}

The largest face is 9 x 5

2[9 * 5]

= 90 cm²

Then total green area calculation

= 2{5 * 3} + 2{9 * 3}

= 84 cm²

Hence given the difference that exists between the the total blue area and the total green area, we can see that the blue area is larger

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Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

Step-by-step explanation:

x = 3

y = - 2

z = 6

\(7xyz\)

Solution,

= 7 × 3 ( - 2 ) × 6

= 21 ( - 2 ) × 6

= - 42 × 6

= - 252

hence the answer is - 252....

Answer:

h=7.65

Step-by-step explanation:

h=k√p

k=h/√p

k=5.4/√1.44

k=4.5

h=4.5√p

when p=2.89

h=4.5√2.89

h=7.65

Answer:

H = 7.65

I hope it helps

\(h \: = \sqrt{p} \\ h \: = k \sqrt{p} .....(1) \\ when \: h \: = 5.4 \: p = 1.44 \\ 5.4 = k \: \sqrt{1.44} \)

\(5.4 = 1.2k \\ divide \: both \: sides \: by \: 1.2 \\ k \: = 4.5\)

\(h \: = 4.5 \sqrt{p} = \: formula \: connecting \: h \: and \: p \\ from \: equation \: .....(1) \\ when \: p \: = 2.89 \: h = \\ when \: p \: = 2.89 \: h \: = \\ h \: = 4.5 \sqrt{2.89} \\ h = \)

\(h \: = 4.5 \sqrt{2.89} \\ h = 4.5 \times 1.7 \\ h \: = 7.65\)

Answer:

15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23 + 24 + 25 = 220

220/11 = 20

The answer is 20.

You can find this by adding all of the numbers in the data set together and then dividing it all by numbers of values you added! (The mean is the same as an average.)

Answer:

11n

Step-by-step explanation:

7n+4n   (factorize out n)

= n (7 + 4)

= n (11)

= 11n

Answer:

11n

Step-by-step explanation:

Combining like terms just means adding together the numbers with the same variable. 7n and 4n both have an n attached, so you would add like normal to get 7n + 4n = 11n.

The total distance covered by Jeremy is 1320 m

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

For sapling 1 = No distance is covered.

For sapling 2, distance covered = 10 m

Return distance=10 m

For sapling 3, distance covered =20 m

Return distance=20 m and so on

Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...

Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12

Total distance covered = 122 [2(0) + (12 − 1) 20 ]

Total distance covered = 6 (11)(20) = 1320 m

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Complete question:

There are 12 saplings to be planted in a straight line at an interval of 10 m between

two consecutive saplings. Jeremy can carry only one sapling at a time and he has to

come back to the original point to take the next sapling. He plants 12 saplings in this

manner, planting the first sapling at the original point. After planting all the saplings,

he comes back at the original point,

In the process, what is the total distance that Jeremy covers?

​

Answer:

$3040 profit made

Step-by-step explanation:

$13×95=$1235 cost to make all the shoes they sold

$45×95=$4275 money she made

$4275-$1235=$3040 profit

Answer:

x = 5

Step-by-step explanation:

1. 9 = 4 + x

2. 9 - 4 = 4 + x - 4

3. 5 = x

Answer:

D

Step-by-step explanation:

Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.

Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.

Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.

Assuming that the basketball follows a parabolic path, we can use the formula:

y = ax² + bx + c,

where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.

To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.

Therefore, the points on the trajectory of the basketball are:

(0, 1.5), (8.5/2, h), and (8.5, 0),

where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,

we get:

1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)

Simplifying equations (1) and (2),

we get:

c = 1.5...(4)b = -a(8.5)²/8.5...(5)

Substituting equation (4) in equation (3), we get:

h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5

Substituting the value of a from equation (5) in the above equation,

we get:

h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5

Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,

we can use the formula:

x = ut + 0.5at²,

where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.

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Answer:

$0.41

Step-by-step explanation:

Find the unit rate per pound.

Just do 7 divided 17 which is 0.41 when rounded to the nearest cent. Therefore he pays $0.41 for pound.

The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.

Given the equation in the question:

6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31

To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.

Apply distributive property:

6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31

18x + 24 + 4x + 4 + 2 = 22x + 31

Collect and combine like terms on both sides:

22x + 30 = 22x + 31

Next, we want to isolate the variable x on one side.

22x - 22x + 30 = 22x - 22x + 31

30 = 31

However, we notice that the x terms cancel out when subtracted:

30 ≠ 31

This means that there is no solution.

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Answer:

C) 5040

Step-by-step explanation:

The ! means factorial

This is saying that you need to multiply every number that proceeds the number given, so in this case:

7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

Answer:

5040

Step-by-step explanation:

is the answer there you go

Answer:

3.33 but he cant buy 3 and 1/3 of a bag of chips so 4

Step-by-step explanation:

Answer

Can someone give me the answer

Step-by-step explanation:

Spherical geometry is used in navigating between locations on the Earth's surface

The correct option for the statement that is true in plane geometry but not true in spherical geometry, is the first option;

Any two lines intersect in exactly one point

Reason:

Spherical geometry is the geometry that considers geometric objects on a spherical surface

While the basic terms in plane geometry are the lines and points, the basic terms in spherical geometry are the great circle and the point, such hat the line in plane geometry is equivalent to a great circle in spherical geometry

Therefore, the statement that is true in plane geometry but not true in spherical geometry is that any two lines intersect in exactly one point

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Answer:

Step-by-step explanation:

The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."

When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.

Therefore, option 1 is the correct definitation of perpendicular lines.

Answer: 1. Two lines that intersect in a way that forms right angles.

Step-by-step explanation:

Hope this helped! :)

\(\\ \sf\longmapsto g(x)=-4c-2\)

Then

\(\\ \sf\longmapsto g(-2)\)

\(\\ \sf\longmapsto -4(-2)-2\)

\(\\ \sf\longmapsto 8-2\)

\(\\ \sf\longmapsto 6\)

The answer choice which correctly draws a comparison between the end behaviors of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.

As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).

It therefore follows that as; x reduces (approaches -∞), the y value increases.

And, as x -increases (approaches +∞), the y-value decreases.

For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).

Consequently, as x reduces (approaches -∞), the y- values decrease.

And, as x increases (approaches +∞), the y-values decrease.

Ultimately, the two functions in discuss can be concluded to have; Choice C.

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The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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The measure of angle D is 45°

Similar triangles have the same corresponding angle measures and proportional side lengths. When two triangles are similar, the corresponding angles are equal.

And also the ratio of corresponding sides of similar triangles are equal.

To know the corresponding angles

side AC is corresponding to side EF, therefore angle D is congruent to angle A

angle D = 45°

OR , we can use the sum of angles In a triangle , which is 180°

angle D = 180 -( 72+63)

= 180 - 135

= 45°

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Answer:

121 is the perfect square between 100 and 144.

The formula of the function, where x is entered in radians is   y = -3sin(πx/5) -6

The key components: amplitude, period, phase shift, and vertical shift.

Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.

Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9).  Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.

Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.

Hence:

The general form of the sinusoidal function is y = A sin (B(x-C)) + D

So, Substituting the known values into the general formula:

y = 3 x  sin((1/5)x - 0) - 6

Hence: Simplifying it will be:

y = 3 x sin(πx/5) - 6

Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6

Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.

Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).

Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.

Therefore the  formula for the function is  seen as:  y = -3·sin(πx/5) -6

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120 many combinations are possible.

The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.

Consider a collection of three integers P, Q, and R. The number of ways that we may choose two numbers from each group is thus determined by combination.

It is represented as: \(^nC_r\)

where, n = total number of objects in the set

r = number of choosing objects from the set

Given that,

Cell Phone Models A particular cell phone company offers:

4 models of phones

each in 6 different colors

each available with any one of 5 calling plans

Thus, possible combination numbers are:

= (No. of models) × (No. of colors) × (No. of calling plans)

= (4)× (6)× (5)

= 120 possibilities

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Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.

It should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:

= ✓(0.35² + 0.65²)

= 0.76 miles.

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°